Paper
11 January 2005 Implementation of displacement measurement via sinusoidal bar code
Zhixing Wang, Xiao Zhang, Xiangyin Li
Author Affiliations +
Abstract
In this paper, a 1-D bar code is used to implement image measurement of object displacement. The bar code is etched or printed on a rod to be a coded scale with bar widths modulated by a sinusoidal function and so the rod has unique phase at each position. During the measurement, an imaging sensor collects image of partial code elements of the whole scale. The displacement can be obtained from phase analysis of collected bars. The phase is calculated via Fourier transform with elimination of windowing effect for the collected image is actually a rectangular windowed signal. If the digital frequency of bar code is high enough and there is enough bars on photosurface, the calculated phase fluctuation caused by noise introduced by bar width detection can be small enough so that the calculated value can be amended to be the ideal one and thus the measuring error is mainly determined by positioning precision of bar center on the photosurface. Under the conditions described in the paper, our experimental results show that the maximum of displacement measuring error is 0.036mm and the standard deviation 0.024mm, which indicates the feasibility of this method and good application prospect of it.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Zhixing Wang, Xiao Zhang, and Xiangyin Li "Implementation of displacement measurement via sinusoidal bar code", Proc. SPIE 5642, Information Optics and Photonics Technology, (11 January 2005); https://doi.org/10.1117/12.573238
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KEYWORDS
Image compression

Image sensors

Optical sensors

Signal processing

Fourier transforms

Image analysis

Modulation

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